In , and . Triangle is congruent to triangle . What is in degrees?
Options
A
30°
B
36°
C
45°
D
60°
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This problem involves triangle congruence and angle relationships.
The main focus is on using the angle sum property of a triangle and congruence properties to determine a specific angle.
Key Concept Explanation:
- Angle Sum Property: The sum of the interior angles of a triangle is always 180°.
- Congruent Triangles: If , then all corresponding angles are equal.
Step-by-Step Solution:
1. Express Angles in Terms of :
Given that and , we set up the equation:
Substituting the given relationships:
2. Find and :
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